Answer:
-9
Step-by-step explanation:
(f-g) (x) = 2x²-7x+24-5x²-5x+3
= -3x²-12x+27
(f-g) (2) = -3(2)²-12(2)+27
= -12-24+27
= -9
the compound interest of the rate of 5 percent on an amount of 4000$ at the end of 2 years
Answer:
hope you find it useful and helpful
Plz help I’ll mark you
Answer:
The option B, c2=a2+b2−2ab• cos(B) is the right answer.
An experimental drug is administered to 130 randomly selected individuals, with the number of individuals responding favorably recorded. Does the probability experiment represent a binomial experiment
Answer:
Yes, as for each trial there are only two possible outcomes, the trials are independent, and the number of trials is fixed.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they respond favorably, or they do not. The probability of a student responding favorably is independent of any other student, and the number of trials is fixed. Thus, this probability experiment represents a binomial experiment.
Please help
Find the value of x if,
m∠5 = x-6, m∠4 = 2x+4, m∠2 = 2x-26
Answer:
Step-by-step explanation:
we are given the angles ∠5 , ∠4 , ∠3 , but with one variable, "X" :)
also we are told ∠AOC is bisected by OB , meaning that ∠1 = ∠2
and the EC is perpendicular to OD , so ∠4+∠5=90°
since we are given ∠4 & ∠5, lets use that to solve for "X"
:)
90= x-6 + 2x+4
90= 3x -2
92 =3x
30[tex]\frac{2}{3}[/tex] ° = x
30.6666666666666666 ° = x
What is the number of degrees of freedom that should be used for finding the critical value
Answer:
tow degree of freedom.
this inform I know that from vibration method
Plz tell this AWANSERS STEP BY STEP
Step-by-step explanation:
solved in the diagram above
I hope it helps you
A circle has center O(2, 3) and radius 10. Which of the following points is on the circle?
Answer:
(2,3) (4,2) (5,2) (1,4) (0,2)
Step-by-step explanation:
because all these points have something common to each other. Now pay attention in your class and stop cheating!!
Answer:
Step-by-step explanation:
eq. of circle is (x-2)²+(y-3)²=10²
now substitute the values of x and y
which satisfies the above eq.that point lies on the circle.
Help please!!!!!!!???!!!!
Answer:
The equation is
y=0.5x+2
Helppp and explain!!!!!!!!!!!!!
Answer:
6x -15
Step-by-step explanation:
plug in gx for x in fx. So you have 2(3x-9) + 3
I need help solving this problem. Thanks
9514 1404 393
Answer:
y = -4/7x +58/7
Step-by-step explanation:
The slope of the given line segment is ...
m = (y2 -y1)/(x2 -x1)
m = (17 -3)/(1 -(-7)) = 14/8 = 7/4
Then the slope of the perpendicular line is ...
-1/m = -4/7 . . . . . slope of the perpendicular bisector.
__
The midpoint of the given line segment is ...
M = 1/2(x1 +x2, y1 +y2)
M = (1/2)(-7 +1, 3 +17) = 1/2(-6, 20) = (-3, 10)
__
The y-intercept of the bisector can be found from ...
b = y -mx
b = 10 -(-4/7)(-3) = 10 -12/7 = 58/7
Then the slope-intercept form equation for the perpendicular bisector is ...
y = mx +b
y = -4/7x +58/7
Can someone please explain to me how to solve the problem? I need to know how to complete it more than just the answer. Thanks!
A plane is flying at an altitude of 13,000 ft, where the temperature is -2 degrees F. The nearby airport, at an altitude of 2,000ft, is reporting precipitation. If the temperature increases 2.1 degrees F for every 1000-ft decrease in altitude, will the precipitation at the airport be rain or snow? Assume that rain changes to snow at 32 degrees F.
Is the precipitation at the airport rain or snow?
9514 1404 393
Answer:
snow
Step-by-step explanation:
The relationship between temperature and altitude is given as ...
T = -2 +((13000 -a)/1000)×2.1
We can put a=2000 into this equation to find the temperature at that altitude.
T = -2 +((13000 -2000)/1000)×2.1 = -2 +11(2.1) = -2 +23.1 = 21.1
The airport temperature of 21.1 °F is below 32 °F, so we expect the precipitation to be snow.
Consider vectors u and v, where u=(1,-1) and v=(1,1). What is the measure of the angle between the vectors? 0° 60° 90° 180°
Answer:
HEY THERE!
Step-by-step explanation:
the correct answer for your question is 90°
Answer:
The answer is c :)
Step-by-step explanation:
90 degrees
If today is Friday, tomorrow will be Saturday
Answer:
Yes
Step-by-step explanation:
Yesterday would be Thursday and the day after next would be Sunday
A
(8x - 5) in.
B
The perimeter of parallelogram ABCD is 46 inches.
What is DA?
03 in
O 4 in
8 in.
O 19 in
D
С
(3x + 10) in
[Not drawn to scale]
find the value of Y in the figure above .
9514 1404 393
Answer:
x = 37y = 22Step-by-step explanation:
Consecutive interior angles are supplementary.
(x -20)° +(4x +15)° = 180°
5x = 185 . . . . . . . . . . . . . . divide by °, add 5
x = 37 . . . . . . . . . . . . divide by 5
__
74° +(5y -4)° = 180°
5y = 110 . . . . . . . . . . . divide by °, subtract 70
y = 22 . . . . . . . . . . divide by 5
01:55:07
The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y – 3 = {(x - 1). What is the
slope-intercept form of the equation for this line?
O y = 3x+2
O y= 2x-4
O y=+*+
O y = 3x - 2
Answer
y = 3x - 2
Step-by-step explanation
The slope-intercept form of the equation for this line is,
⇒ y = x + 2
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point-slope form of the equation of the line that passes through points (-9, -2) and (1, 3) is,
⇒ y - 3 = (x - 1)
Now, We can simplify as;
⇒ y - 3 = (x - 1)
⇒ y - 3 + 3 = (x - 1) + 3
⇒ y = x + 2
Thus, The slope-intercept form of the equation for this line is,
⇒ y = x + 2
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ7
How do you solve this problem and what did you do to gain the answer 1/64+5/8-3/32=?
Answer:
the answer is 35/64(in fraction) but in decimals it's 0.55
Evaluate the expression
The exclamation mark at the end of any number indicates a factorial. You may be able to find this button in your calculator, though where it is varies.
A factorial is the product of the integer and all of the integers below it (greater than 0).
So, 9 factorial = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
6 factorial = 6 x 5 x 4 x 3 x 2 x 1
We can immediately eliminate the numbers that are the same on the top and bottom, since this is a fraction. That leaves us with the following multiplication problem to solve.
9 x 8 x 7 = 504
Hope this helps!
16.3 m 16.7 m What is the perimeter of the whole garden? LI m busti 2027
The perimeter of the whole garden would be 66m.
Hope this helps! :)
12x + 1 - 2(y + 2) = 12x - ______ - 2y
Answer:
-3
Step-by-step explanation:
12x + 1 - 2(y + 2)
=> 12x + 1 - 2y - 4
=> 12x - 3 - 2y
Answer:
-3
Step-by-step explanation:
12x+1-2y-4
12x+1-2y-4
12x-2y-3
Marty's barber shop has one barber. Customers arrive at a rate of 2.2 per hour and haircuts are given at a rate of 5 customers per hour. Assume a Poisson arrival rate and an Exponential service time distribution.
Required:
a. What is the probability that one customer is receiving a haircut and one customer is waiting?
b. What is the probability that one customer is receiving a haircut and two customers are waiting?
c. What is the probability that more than two customers are waiting?
Answer:
Step-by-step explanation:
Arrival rate = ∧ = 2.2 customers per hour
Service rate = u = 5 customers per hour
1. Probability that one customer is receiving a haircut and one customer is waiting
P(2 customers)=(∧/u)^2 * (1-∧/u)=(2.2/5)^2 * (1-2.2/5)=0.1936*0.56= 0.108416
2. Probability that one customer is receiving a haircut and two customers are waiting
P(3 customers)= (∧/u)^3 * (1-∧/u)=(2.2/5)^3 * (1-2.2/5)= 0.085184
* 0.56= 0.04770304
3. Probability that more than two customers are waiting
P(more than 3 customers)=1- P(less than 3 customers) =
1- [P(0)+P(1)+P(2)+P(3)]=
= 1- [(1-2.2/5) +2.2/5*(1- 2.2/5) + 0.108416+0.04770304]=1-0.9625=0.0375
Simultaneous equations 5x-4y=19
x+2y=8
Answer:
x = 5 and y = 1.5
Step-by-step explanation:
hope this helps please like and mark as brainliest
A piece of wire that is 200 ft long is to be cut into two pieces and each of the piece is to be bent into a square. How should the wire be cut if the area of one of the squares is 1000ft2 smaller than the other?
Answer:
Length of first cut = 140
Length of second cut = 60
Step-by-step explanation:
Given:
Length of wire = 200
Find:
Length of each cut
Computation:
Assume;
Side of first square = x/4
Side of second square = [200 - x] / 4 = 50 - x/4
So,
[x/4]² - [50 - x/4]²
x²/16 - x²/16 - 2500 + 25x = 1000
- 2500 + 25x = 1000
25x = 3500
x = 140
Side of first square = 140/4
Side of first square = 35
Side of second square = 50 - 140/4
Side of second square = 15
Length of first cut = 4 x 35
Length of first cut = 140
Length of second cut = 200 - 140
Length of second cut = 60
Answer:
60 ft and 140 ft
Step-by-step explanation:
Total length = 200 ft
Let the length of one piece is L and other is 200 - L.
[tex]1000 + \left (\frac{L}{4} \right )^2 = \left ( \frac{200 - L}{4} \right )^2\\\\16000 +L^2 = 40000 + L^2 - 400 L\\\\L= 60 ft[/tex]
So, the length of the other piece is 140 ft.
2 (m+n) +m=9
3m-3n = 24
Answer:
m=5
n=-3
Step-by-step explanation:
3m+2m=9
3m-3n=24
3(5)+2(-3)=9
15-6=9 correct
24
4
3+
2+
2
1
-3
-
-1
1
1
2
3
4
-1+
-2 +
-3+
4
What is the slope of the line?
Answer:
1.5/2
Step-by-step explanation:
slope formula = y2-y1/ x2 - x1
point one (2,0)
point 2 (0, 1.5)
you dont really need to subtract anything because the intercepts, so the slope is 1.5/2
(slope or m = 1.5 - 0 / 2 - 0 )
x intercept = value of x when y is 0
y intercept = value of y when x is 0
If Joanne can paint a room in 3 hours and her sister Angela can paint the same room in 4 hours, how long (in h) would it take Joanne and Angela to paint the room working together? Round to the nearest tenth.
Answer:
Step-by-step explanation:
If J can paint a room in 3 hours, in 1 hour she gets [tex]\frac{1}{3}[/tex] of the job done.
If A can paint a room in 4 hours, in 1 hour she gets [tex]\frac{1}{4}[/tex] of the job done. We need to find out how long it takes them if they paint together. The equation for this is:
[tex]\frac{1}{3}+\frac{1}{4}=\frac{1}{x}[/tex] where x is the number of hours it takes them to get the job done together. Multiply everything through by 12x to get
4x + 3x = 12 so
7x = 12 and
x = 1.7 hours to get the room painted together.
Four brands of lightbulbs are being considered for use in the final assembly area of the Ford F-150 truck plant in Dearborn, Michigan. The director of purchasing asked for samples of 200 from each manufacturer. The numbers of acceptable and unacceptable bulbs from each manufacturer are shown below. At the 0.10 significance level, is there a difference in the quality of the bulbs?
Manufacturer
A B C D
Unacceptable 29 17 9 22
Acceptable 171 183 191 178
Total 200 200 200 200
H0: There is no relationship between quality and manufacturer.
H1: There is a relationship.
1) State the decision rule using 0.10 significance level. (Round your answer to 3 decimal places.)
Reject H0 if chi-square >
2) Compute the value of chi-square. (Round your answer to 3 decimal places.)
Chi-square value
Answer:
Decison region :
Reject H0 : if χ² > 6.251
12.229
Step-by-step explanation:
Given :
Manufacturer A B C D
Unacceptable 29 17 9 22
Acceptable 171 183 191 178
Total 200 200 200 200
H0: There is no relationship between quality and manufacturer.
H1: There is a relationship.
Testing using the goodness of fit :
Chisquare = (observed - Expected)² / Expected
Expected Values:
19.25 19.25 19.25 19.25
180.75 180.75 180.75 180.75
Chi-Squared Values:
4.93831 0.262987 5.45779 0.392857
0.525934 0.0280083 0.581259 0.0418396
χ² = 4.93831 + 0.262987 + 5.45779 + 0.392857
+ 0.525934 + 0.0280083 + 0.581259 + 0.0418396 = 12.229
Degree of freedom, df = (4-1)(2-1) = 3*1= 3
The critical value,
χ² at 0.10, 3 = 6.251
Decison region :
Reject H0 : if χ² > 6.251
Reject H0 : 12.229 > 6.251
Calculate the difference and enter it below.
-5 - (-10)
Answer: Simply the expression = 5
Step-by-step explanation:
Simplify = 5
Step-by-step explanation:
-5-(-10) = -5+10 = 5
Therefore the answer of your question is 5.
Mark me as the brainliest answer.
Find m < A
Round to the nearest degree.
CA = 6
CB = 13
AB = 10
Multiplying 10x² and (2x²)² we get …..
Hi there!
[tex]\large\boxed{40x^{6}}[/tex]
Begin by simplifying (2x²)²
2² · (x²)² <-- Power rule for exponents, multiply them together:
4 · x⁴ = 4x⁴
Multiply by 10x². ADD exponents when multiplying.
10x² · 4x⁴ = 40 · x²⁺⁴
40x⁶